Geometrical phase in the cyclic evolution of non-Hermitian systems
- 21 December 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (24) , 5795-5806
- https://doi.org/10.1088/0305-4470/23/24/020
Abstract
The authors derive, by a biorthonormal state approach, the analogy of Berry's phase factor for open, non-conservative systems, for both adiabatic and non-adiabatic evolution. In the latter case, a (non-unitary) evolution operator method is exploited. An application is given to the optical supermode propagation in the free-electron laser.Keywords
This publication has 50 references indexed in Scilit:
- Chern numbers, quaternions, and Berry's phases in Fermi systemsCommunications in Mathematical Physics, 1989
- GEOMETRIC METHODS AND THE GAUGE STRUCTURE OF BERRY'S PHASEInternational Journal of Modern Physics A, 1989
- Quantum phase corrections from adiabatic iterationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1987
- A topological investigation of the Quantum Adiabatic PhaseCommunications in Mathematical Physics, 1987
- Phase change during a cyclic quantum evolutionPhysical Review Letters, 1987
- Some geometrical considerations of Berry’s phasePhysical Review D, 1987
- Quantum Holonomy and the Chiral Gauge AnomalyPhysical Review Letters, 1985
- Appearance of Gauge Structure in Simple Dynamical SystemsPhysical Review Letters, 1984
- Quantal phase factors accompanying adiabatic changesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1984
- Holonomy, the Quantum Adiabatic Theorem, and Berry's PhasePhysical Review Letters, 1983